Existence Results for Second Order Integrodifferential Inclusions with Non Local Conditions
Abstract
In this paper we investigate the existence of mild solutions to second order initial values problems for a class of integrodifferential inclusions with nonlocal conditions. The results are obtained by using the theory of continuous cosine families and a fixed point theorem for condensing maps due to Martelli.
Keywords
Convex multivalued map, integrodifferential inclusion with nonlocal conditions cosine operators, Martelli’s theorem.